A mass attached to a spring is free to oscillate, with angular velocity omega, in a horizontal plane without friction or damping. It is pulled to a distance x_(0) and pushed towards the centre with a velocity v_(0) at time t = 0. Determine the amplitude of the resulting oscillations in terms of the parameters omega,x_(0)andv_(0). Hint : Start with the equation x=acos(omegat+theta) and note that the initial velocity is negative.

A mass attached to a spring is free to oscillate, with angular velocit

1.	A mass attached to a spring is free to oscillate, with angular velocity omega, in a horizontal plane without friction or damping. It is pulled to a distance x_(0) and pushed towards the centre with a velocity v_(0) at time t = 0. Determine the amplitude of the resulting oscillations in terms of the parameters omega,x_(0)andv_(0). Hint : Start with the equation x=acos(omegat+theta) and note that the initial velocity is negative.
Answer» ANSWER :`sqrt((x_(0)^(2)+v_(0)^(2)/omega^(2)))`